About: Socle chains of abelian regular semiartinian rings     Goto   Sponge   NotDistinct   Permalink

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Description
  • By applying classical results of combinatorial set theory we prove necessary conditions satisfied by dimension sequences of abelian regular semiartinian rings. On the other hand, we present constructions of commutative regular semiartinian rings with given ranks of slices of socle chain. In some particular cases we prove a necessary and sufficient condition under which there exists an abelian regular semiartinian ring with given ranks of slices.
  • By applying classical results of combinatorial set theory we prove necessary conditions satisfied by dimension sequences of abelian regular semiartinian rings. On the other hand, we present constructions of commutative regular semiartinian rings with given ranks of slices of socle chain. In some particular cases we prove a necessary and sufficient condition under which there exists an abelian regular semiartinian ring with given ranks of slices. (en)
Title
  • Socle chains of abelian regular semiartinian rings
  • Socle chains of abelian regular semiartinian rings (en)
skos:prefLabel
  • Socle chains of abelian regular semiartinian rings
  • Socle chains of abelian regular semiartinian rings (en)
skos:notation
  • RIV/00216208:11320/12:10128249!RIV13-MSM-11320___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 217
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 168889
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/12:10128249
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • rings; semiartinian; regular; abelian; chains; Socle (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [9D91B08315F0]
http://linked.open...i/riv/nazevZdroje
  • Journal of Pure and Applied Algebra
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2012
http://linked.open...iv/tvurceVysledku
  • Žemlička, Jan
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-4049
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
is http://linked.open...avai/riv/vysledek of
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